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To get the number of subsets of size less than 2:

  • Total number of subsets of a set of size N is 2N
  • Total number of subsets of size 1 is 100
  • Total number of subsets of size 0 is 1
  • Total number of subsets of size 2 is 100*99/2 = 4950

Sum up: 100 + 1 + 4950 = 5051

Subtract this from total subsets: 2100 - 5051 (Answer)

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Q: How many subsets with more than two elements does a set with 100 elements have?
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